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Finding the Fourth Proportional to 519.22, 778.51 and 194.21

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Solution

The fourth proportional to 519.22, 778.51 and 194.21 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.22 : 778.51 = 194.21 : x
  2. Step 2: Convert to fraction form
    519.22/778.51 = 194.21/x
  3. Step 3: Cross multiply
    519.22x = 778.51 × 194.21
  4. Step 4: Simplify right side
    519.22x = 151,194.43
  5. Step 5: Solve for x
    x = 151,194.43/519.22
  6. Step 6: Final answer
    x = 291.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.